Question

prove that 2 root 3_root 5 is an irrational number ​

Answer 1

Answer:

Let, 2√3-√5 be a rational no.

a also be a rational and coprime no.

2√3-√5=a

we know that

√3 &√5 are irrational no.

therefore

irrational not equals to rational

This contradicts our assumption

2√3-√5 is an irrational no.